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1 2 a 5 Given the matrix: A=| 0 1 When a real number a 1 а 0 i. Use determinants to find all the values of a for which the system Ax = 0 has a non-trivial solution. ii. Find for which values of a The vectors of the columns of A constitute the basis of R. 1 0 2 iii. Set a=105 and be C= 3 -7 0 8 0 5 Is there a matrix B such that A= BC?

1 2 a 5 Given the matrix: A=| 0 1 When a real number a 1 а 0 i. Use determinants to find all the values of a for which the system Ax = 0 has a non-trivial solution. ii. Find for which values of a The vectors of the columns of A constitute the basis of R. 1 0 2 iii. Set a=105 and be C= 3 -7 0 8 0 5 Is there a matrix B such that A= BC?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1 2 а 5 Given the matrix: A=| 0 1 When a real number a 1 а 0 i. Use determinants to find all the values of a for which the system Ax = 0 has a non-trivial solution. ii. Find for which values of a The vectors of the columns of A constitute the basis of R'. 0 2 iii. Set a=105 and be C=| 3 0 5 -7 0 8 1 Is there a matrix B such that A= BC?
Transcribed Image Text:1 2 а 5 Given the matrix: A=| 0 1 When a real number a 1 а 0 i. Use determinants to find all the values of a for which the system Ax = 0 has a non-trivial solution. ii. Find for which values of a The vectors of the columns of A constitute the basis of R'. 0 2 iii. Set a=105 and be C=| 3 0 5 -7 0 8 1 Is there a matrix B such that A= BC?
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